Invariance properties of Wronskian type determinants of classical and classical discrete orthogonal polynomials☆

Given a finite set of nonnegative integers (written in increasing order of magnitude) and a classical discrete family of orthogonal polynomials (Charlier, Meixner, Krawtchouk or Hahn), we consider the Casorati determinant . In this paper we prove an invariance property of this kind of Casorati deter...

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Detalles Bibliográficos
Autores: Curbera Costello, Guillermo, Durán Guardeño, Antonio José
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2019
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/179369
Acceso en línea:https://hdl.handle.net/11441/179369
https://doi.org/10.1016/j.jmaa.2019.01.078
Access Level:acceso abierto
Palabra clave:Charlier polynomials
Hermite polynomials
Meixner polynomials
Laguerre polynomials
Hahn polynomials
Jacobi polynomials
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spelling Invariance properties of Wronskian type determinants of classical and classical discrete orthogonal polynomials☆Curbera Costello, GuillermoDurán Guardeño, Antonio JoséCharlier polynomialsHermite polynomialsMeixner polynomialsLaguerre polynomialsHahn polynomialsJacobi polynomialsGiven a finite set of nonnegative integers (written in increasing order of magnitude) and a classical discrete family of orthogonal polynomials (Charlier, Meixner, Krawtchouk or Hahn), we consider the Casorati determinant . In this paper we prove an invariance property of this kind of Casorati determinants when the set F is substituted by the set . Our approach uses orthogonal polynomials that are eigenfunctions of higher order difference operators (Krall discrete polynomials). These polynomials are orthogonal with respect to certain Christoffel transforms of the classical discrete measures. By passing to the limit, this invariance property is extended to Wronskian type determinants whose entries are Hermite, Laguerre and Jacobi polynomials.ElsevierAnálisis MatemáticoFQM262: Teoría de la Aproximación2019info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfapplication/pdfhttps://hdl.handle.net/11441/179369https://doi.org/10.1016/j.jmaa.2019.01.078reponame:idUS. Depósito de Investigación de la Universidad de Sevillainstname:Universidad de Sevilla (US)InglésJournal of Mathematical Analysis and Applications, 474 (1), 748-764.10.1016/j.jmaa.2019.01.078info:eu-repo/semantics/openAccessoai:idus.us.es:11441/1793692026-06-17T12:51:07Z
dc.title.none.fl_str_mv Invariance properties of Wronskian type determinants of classical and classical discrete orthogonal polynomials☆
title Invariance properties of Wronskian type determinants of classical and classical discrete orthogonal polynomials☆
spellingShingle Invariance properties of Wronskian type determinants of classical and classical discrete orthogonal polynomials☆
Curbera Costello, Guillermo
Charlier polynomials
Hermite polynomials
Meixner polynomials
Laguerre polynomials
Hahn polynomials
Jacobi polynomials
title_short Invariance properties of Wronskian type determinants of classical and classical discrete orthogonal polynomials☆
title_full Invariance properties of Wronskian type determinants of classical and classical discrete orthogonal polynomials☆
title_fullStr Invariance properties of Wronskian type determinants of classical and classical discrete orthogonal polynomials☆
title_full_unstemmed Invariance properties of Wronskian type determinants of classical and classical discrete orthogonal polynomials☆
title_sort Invariance properties of Wronskian type determinants of classical and classical discrete orthogonal polynomials☆
dc.creator.none.fl_str_mv Curbera Costello, Guillermo
Durán Guardeño, Antonio José
author Curbera Costello, Guillermo
author_facet Curbera Costello, Guillermo
Durán Guardeño, Antonio José
author_role author
author2 Durán Guardeño, Antonio José
author2_role author
dc.contributor.none.fl_str_mv Análisis Matemático
FQM262: Teoría de la Aproximación
dc.subject.none.fl_str_mv Charlier polynomials
Hermite polynomials
Meixner polynomials
Laguerre polynomials
Hahn polynomials
Jacobi polynomials
topic Charlier polynomials
Hermite polynomials
Meixner polynomials
Laguerre polynomials
Hahn polynomials
Jacobi polynomials
description Given a finite set of nonnegative integers (written in increasing order of magnitude) and a classical discrete family of orthogonal polynomials (Charlier, Meixner, Krawtchouk or Hahn), we consider the Casorati determinant . In this paper we prove an invariance property of this kind of Casorati determinants when the set F is substituted by the set . Our approach uses orthogonal polynomials that are eigenfunctions of higher order difference operators (Krall discrete polynomials). These polynomials are orthogonal with respect to certain Christoffel transforms of the classical discrete measures. By passing to the limit, this invariance property is extended to Wronskian type determinants whose entries are Hermite, Laguerre and Jacobi polynomials.
publishDate 2019
dc.date.none.fl_str_mv 2019
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv https://hdl.handle.net/11441/179369
https://doi.org/10.1016/j.jmaa.2019.01.078
url https://hdl.handle.net/11441/179369
https://doi.org/10.1016/j.jmaa.2019.01.078
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Journal of Mathematical Analysis and Applications, 474 (1), 748-764.
10.1016/j.jmaa.2019.01.078
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv reponame:idUS. Depósito de Investigación de la Universidad de Sevilla
instname:Universidad de Sevilla (US)
instname_str Universidad de Sevilla (US)
reponame_str idUS. Depósito de Investigación de la Universidad de Sevilla
collection idUS. Depósito de Investigación de la Universidad de Sevilla
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,812429

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